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Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
Analytic torsion Reidemeister torsion hyperbolic 3-manifolds cusps Spectral Theory
2012/6/14
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of ...
We extend the holomorphic analytic torsion classes of Bismut and K\"ohler to arbitrary projective morphisms between smooth algebraic complex varieties. To this end, we propose an axiomatic definition...